Question

A rectangle has side length of 8 inches and √3. which statement is true about the area of the rectangle?

a. it is a rational number because the product of the sides is the rational number 24.
b. it is an irrational number because the product of the two sides is 8 √3, an irrational number.
c. it is a rational number because the product of √3 and √3 results in 3, a rational number.
d. it is an irrational number because the product of the side lengths is √24, -! 84, an irrational number.

Answer 1

The correct answer is b. it is an irrational number because the product of the two sides is 8 √3, an irrational number.

Explanation:

This is true because to find the area we multiply the length by the width. Since 8√3 cannot be expressed as a/b in which both a and b are both integers, then it is an irrational number.

Answer 2

Choice b is true.

Explanation:

We have given the length and width of the rectangle.

length = 8 inches And width = √3

We have to choose the true statement about area.

Area = length × width

Area = 8 × √3

Area = 8√3

Since, we know that √3 is irrational number Hence, 8√3 is a irrational number.

Hence, Choice b is true.